6 citations · 38 across the 25 of their papers we have counts for
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math.AP2019★ 2 cited
On the Banach manifold of simple domains in the Euclidean space and applications to free boundary problems
Shangbin Cui
In this paper we study the Banach manifold made up of simple -domains in the Euclidean space . This manifold is merely a topological or a Banach manifold…
math.AP2019★ 2 cited
Analysis of a free boundary problem modeling the growth of necrotic tumors
Shangbin Cui
In this paper we make rigorous mathematical analysis to a free boundary problem modeling the growth of necrotic tumors. A remarkable feature of this free boundary problem is that i…
math.AP2019★ 1 cited
Quasi-differentiable Banach manifold and phase-diagram of invariant parabolic differential equation in such manifold
Shangbin Cui
The purpose of this paper is twofold. First we study a class of Banach manifolds which are not differentiable in traditional sense but they are quasi-differentiable in the sense th…